he experimental procedure for empirical data is to pick one card from a deck of shuffled cards. 1. The number of diamonds picked by the group is recorded in the table below. Calculate the relative frequencies.  x Frequency Relative Frequency 0 1   1 2   2 3   3 7   4 9   5 2   6 1   7 0   8 0   9 0   10 0   2. Calculate the following (Use a TI calculator, letting L1 be the “x” column and L2 be the “frequency” column.) a. x¯= ________   b. s = __________   3. Construct a histogram of the empirical data. (Use the “.5” points halfway between each integer value on the “number of diamonds” axis; e.g. 0.5 , 1.5, …)   4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.) x P(x) 0   1   2   3   4   5   6   7   8   9   10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 33PPS
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The experimental procedure for empirical data is to pick one card from a deck of shuffled cards.

1. The number of diamonds picked by the group is recorded in the table below. Calculate the relative frequencies. 

x Frequency Relative Frequency
0 1  
1 2  
2 3  
3 7  
4 9  
5 2  
6 1  
7 0  
8 0  
9 0  
10 0  

2. Calculate the following (Use a TI calculator, letting L1 be the “x” column and L2 be the “frequency” column.)

a. x¯= ________

 

b. s = __________

 

3. Construct a histogram of the empirical data. (Use the “.5” points halfway between each integer value on the “number of diamonds” axis; e.g. 0.5 , 1.5, …)

 

4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.)

x P(x)
0  
1  
2  
3  
4  
5  
6  
7  
8  
9  
10  

a. Calculate the following:

a. μ = ____________

 

b. σ = ____________

 

b. Construct a histogram of the theoretical distribution. (Use the same graphing method described above.)

Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

P(x = 3) = _______________________

P(1 < x < 4) = _______________________

P(x ≥ 8) = ______________________

 

Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)

RF(x = 3) = _______________________

RF(1 < x < 4) = _______________________

RF(x ≥ 8) = ______________________

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Follow-up Question

Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)    

  • RF(x = 3) = _______________________
  • RF(1 < x < 4) = _______________________
  • RF(x ≥ 8) = _______________________
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Follow-up Question

Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

  • P(x = 3) = _______________________
  • P(1 < x < 4) = _______________________
  • P(x ≥ 8) = ______________________

Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places. (Here “RF” represents the Relative Frequencies from the first table.)    

 

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Follow-up Question
If a planar drawing of a graph has 13 edges and 4 vertices, how many faces does the graph have?
faces
Transcribed Image Text:If a planar drawing of a graph has 13 edges and 4 vertices, how many faces does the graph have? faces
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Follow-up Question

4. Build the theoretical probability table based on the distribution above. Use the binomial distribution with the theoretical probability and number of trials with each possible value. (To calculate the first value where x = 0, use binomialpdf(n, p, 0), where n and p are your theoretical probability and the number of draws. Do the same thing for x = 1 with binomialpdf(n, p, 1), etc.)

x P(x)
0  
1  
2  
3  
4  
5  
6  
7  
8  
9  
10  

 

Solution
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